The projected worth (in millions of dollars) of a large company is modeled by the equation w= 256(1.09)t The variable t represents the number of years since 2000. What is the projected annual
percent of growth, and what should the company be worth in 2008?

Complete Question

The projected worth (in millions of dollars) of a large company is modeled by the equation w =256(1.09)^t .

The variable t represents the number of years since 2000. What is the projected annual

percent of growth, and what should the company be worth in 2008?

a) The projected annual percent growth = 9%

b) The company's worth in 2008 = 510.09603627(in million dollars) or $510,096,036.27

Step-by-step explanation:

a) The projected annual percent growth

From the formula of company's worth =

w = 256(1.09)^t

1.09 - 1 = 0.09

Converting decimal to percentage

= 0.09 × 100

= 9%

b) The projected worth of the company is represented as:

w= 256(1.09)^t

t = 2000 - 2008 = 8 years

w = 256(1.09)^8

w = 510.09603627(in million dollars)

or 510.09603627 × 1,000,000

= $510,096,036.27

2

step-by-step explanation:

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